Maths HEP Lunchtime Seminars: Generalized hidden symmetries of higher-dimensional rotating black holes
19 February 2010 13:00 in CM221
The 4D rotating black hole described by the Kerr geometry possesses many of what was called by Chandrasekhar "miraculous" properties. Most of them are related to the existence of a fundamental hidden symmetry of a principal conformal Killing-Yano (PCKY) tensor. In my talk I shall demonstrate that, in this context, four dimensions are not exceptional and that the (spherical horizon topology) higher-dimensional rotating black holes are very similar to their four-dimensional aunts. Namely, I shall present the most general spacetime admitting the PCKY tensor and show that is possesses the
following properties: 1) It is of the algebraic type D. 2) It allows a separation of variables for the Hamilton-Jacobi, Klein-Gordon, Dirac, and stationary string equations.3) When the Einstein equations with the cosmological constant are imposed the metric describes the most general known Kerr-NUT-(A)dS spacetime.
I will also discuss the generalization of Killing-Yano symmetries for spacetimes with natural "torsion 3-form", such as the black hole of D=5 minimal supergravity, or the Kerr-Sen solution of heterotic